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Finding the Third Proportional to 20,193,536 and 31,327,434

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Solution

The third proportional to 20,193,536 and 31,327,434 is: 48,600,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193,536 : 31,327,434 = 31,327,434 : x
  2. Step 2: Convert to fraction form
    20,193,536/31,327,434 = 31,327,434/x
  3. Step 3: Cross multiply
    20,193,536x = 31,327,434 × 31,327,434
  4. Step 4: Simplify right side
    20,193,536x = 981,408,121,024,356
  5. Step 5: Solve for x
    x = 981,408,121,024,356/20,193,536
  6. Step 6: Final answer
    x = 48,600,112.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.